A) if Ax=b has unique solution then the columns of A are Linearly Independent. If columns are linearly independent then there is unique linear combination to give q. so this option is false.
B) From A option we concluded that the columns are Linearly Independent, 3 LI vectors in R3 can fill it entirely, therefore solution always exist. so this option is false.
C)since the solution of ax=b is unique we have 2LI vectors in R3. It means we will either have unique solution or no solution. so this option is false.
D)we have 2 X 3 matrix, means we have 3 vectors in R2, which means they are Linearly Dependent. Hence, we cannot have a unique solution.(option is itself wrong)
